Physical Math Course
Dive into Physical Math Course to conquer Gaussian integrals, ladder operators, and perturbation theory. Gain strong intuition for Schrödinger equations and oscillator systems, empowering you to tackle quantum mechanics challenges confidently using precise mathematical techniques and reliable computations.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This Physical Math Course equips you with essential tools for Gaussian integrals, analytic continuation, and ladder operator algebra. Learners handle dimensionless Schrödinger equations, normal order x⁴ terms, and non-degenerate perturbation theory, while evaluating series expansions and asymptotic behaviour to determine reliable first-order corrections in practical computations.
Elevify advantages
Develop skills
- Master Gaussian integrals for oscillator norms with complex parameters.
- Apply ladder operators to construct eigenstates and compute x, p, number operators.
- Normal-order x⁴ to simplify vacuum and excited-state expectations.
- Implement perturbation theory for first-order energy shifts in anharmonic oscillators.
- Rescale Schrödinger equations into stable, dimensionless numerical models.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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